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4745227785480 = 233557132499827
BaseRepresentation
bin100010100001101010110…
…0111011101010100001000
3121210122021002020122200000
41011003111213131110020
51110221211303113410
614031532203443000
7666555111445410
oct105032547352410
917718232218600
104745227785480
11156a492416976
126477a7226460
1328561c40bb00
14125955249640
158367a997dc0
hex450d59dd508

4745227785480 has 1152 divisors, whose sum is σ = 19855704960000. Its totient is φ = 997976318976.

The previous prime is 4745227785439. The next prime is 4745227785491. The reversal of 4745227785480 is 845877225474.

4745227785480 is a `hidden beast` number, since 4 + 7 + 4 + 5 + 2 + 2 + 77 + 85 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5737880827 + ... + 5737881653.

It is an arithmetic number, because the mean of its divisors is an integer number (17235855000).

Almost surely, 24745227785480 is an apocalyptic number.

4745227785480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4745227785480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9927852480000).

4745227785480 is an abundant number, since it is smaller than the sum of its proper divisors (15110477174520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4745227785480 is a wasteful number, since it uses less digits than its factorization.

4745227785480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 140492800, while the sum is 63.

The spelling of 4745227785480 in words is "four trillion, seven hundred forty-five billion, two hundred twenty-seven million, seven hundred eighty-five thousand, four hundred eighty".